Finite Group Databasebeta

← Group #11772408

Character table — Group #11772408

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444224433666666121212121212121266661212121288888888161616161616161616161616161616164444888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i
χ61111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii
χ71111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii
χ81111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i
χ911-1-111-1-11-1-1111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ1011-1-111-1-11-1-1111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ1111-1-111-1-11-1-1111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ1211-1-111-1-11-1-1111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ1311-1-1-1-111-11-1111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ1411-1-1-1-111-11-1111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ1511-1-1-1-111-11-1111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ1611-1-1-1-111-11-1111-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-20000000022−2−222−2−222−2−222−2−2000000000000000000000000
χ1922222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-200000000−2−222−2−222−2−222−2−222000000000000000000000000
χ202222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ212222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ222222-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2322-2-222-2-22-2-2222-2-222-2-22222-2-2-2-222-2-222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ2422-2-222-2-2-222-222-2-222-2-22222-2-2-2-2-2-222-2-2220000000022−2−2−2−22222−2−2−2−222000000000000000000000000
χ2522-2-222-2-2-222-222-2-222-2-22222-2-2-2-2-2-222-2-22200000000−2−22222−2−2−2−22222−2−2000000000000000000000000
χ2622-2-2-2-2222-22-222-2-222-2-2-2-2-2-2222222-2-2-2-22200000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2722-2-2-2-2222-22-222-2-222-2-2-2-2-2-2222222-2-2-2-22200000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2822-2-2-2-222-22-2222-2-222-2-2-2-2-2-22222-2-22222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ292-22-22i−2i2i−2i0000222-2-2-22-22i2i−2i−2i2i−2i2i−2i000000002−22−2−i2i2−i2i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43000000000000000000000000
χ302-22-22i−2i2i−2i0000222-2-2-22-22i2i−2i−2i2i−2i2i−2i000000002−22−2−i2i2−i2i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43000000000000000000000000
χ312-22-22i−2i2i−2i0000222-2-2-22-22i2i−2i−2i2i−2i2i−2i00000000−22−22i2−i2i2−i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47000000000000000000000000
χ322-22-22i−2i2i−2i0000222-2-2-22-22i2i−2i−2i2i−2i2i−2i00000000−22−22i2−i2i2−i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47000000000000000000000000
χ332-22-2−2i2i−2i2i0000222-2-2-22-2−2i−2i2i2i−2i2i−2i2i000000002−22−2i2−i2i2−i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47000000000000000000000000
χ342-22-2−2i2i−2i2i0000222-2-2-22-2−2i−2i2i2i−2i2i−2i2i000000002−22−2i2−i2i2−i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47000000000000000000000000
χ352-22-2−2i2i−2i2i0000222-2-2-22-2−2i−2i2i2i−2i2i−2i2i00000000−22−22−i2i2−i2i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43000000000000000000000000
χ362-22-2−2i2i−2i2i0000222-2-2-22-2−2i−2i2i2i−2i2i−2i2i00000000−22−22−i2i2−i2i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43000000000000000000000000
χ372-2-222i−2i−2i2i000022-22-2-2-222i2i−2i−2i−2i2i−2i2i000000002−2−22i2−i2−i2i2ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43000000000000000000000000
χ382-2-222i−2i−2i2i000022-22-2-2-222i2i−2i−2i−2i2i−2i2i000000002−2−22i2−i2−i2i2−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43000000000000000000000000
χ392-2-222i−2i−2i2i000022-22-2-2-222i2i−2i−2i−2i2i−2i2i00000000−222−2−i2i2i2−i2−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47000000000000000000000000
χ402-2-222i−2i−2i2i000022-22-2-2-222i2i−2i−2i−2i2i−2i2i00000000−222−2−i2i2i2−i2ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47000000000000000000000000
χ412-2-22−2i2i2i−2i000022-22-2-2-22−2i−2i2i2i2i−2i2i−2i000000002−2−22−i2i2i2−i2−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47000000000000000000000000
χ422-2-22−2i2i2i−2i000022-22-2-2-22−2i−2i2i2i2i−2i2i−2i000000002−2−22−i2i2i2−i2ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47000000000000000000000000
χ432-2-22−2i2i2i−2i000022-22-2-2-22−2i−2i2i2i2i−2i2i−2i00000000−222−2i2−i2−i2i2ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43000000000000000000000000
χ442-2-22−2i2i2i−2i000022-22-2-2-22−2i−2i2i2i2i−2i2i−2i00000000−222−2i2−i2−i2i2−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43000000000000000000000000
χ454444444444441-2111-2-2-21-21-2-2-2111-21-21-21-20000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ464444444444441-2111-2-2-21-21-2-2-2111-21-21-21-20000000000000000000000000000-2-2-2-20000000011111111
χ47444444444444-21-2-2-2111-21-2111-2-2-21-21-21-2100000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ48444444444444-21-2-2-2111-21-2111-2-2-21-21-21-21000000000000000000000000-2-2-2-200001111111100000000
χ4944444444-4-4-4-41-2111-2-2-21-21-2-2-211-12-12-12-120000000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i3
χ5044444444-4-4-4-41-2111-2-2-21-21-2-2-211-12-12-12-120000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i3
χ5144444444-4-4-4-4-21-2-2-2111-21-2111-2-22-12-12-12-100000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ5244444444-4-4-4-4-21-2-2-2111-21-2111-2-22-12-12-12-100000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ534444-4-4-4-444-4-41-2111-2-2-2-12-1222-1-11-21-2-12-1200000000000000000000000000000000000000003−33−3−33−33
χ544444-4-4-4-444-4-41-2111-2-2-2-12-1222-1-11-21-2-12-120000000000000000000000000000000000000000−33−333−33−3
χ554444-4-4-4-444-4-4-21-2-2-21112-12-1-1-122-21-212-12-100000000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ564444-4-4-4-444-4-4-21-2-2-21112-12-1-1-122-21-212-12-100000000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ574444-4-4-4-4-4-4441-2111-2-2-2-12-1222-1-1-12-121-21-200000000000000000000000000002i2i−2i−2i00000000−i−i−i−iiiii
χ584444-4-4-4-4-4-4441-2111-2-2-2-12-1222-1-1-12-121-21-20000000000000000000000000000−2i−2i2i2i00000000iiii−i−i−i−i
χ594444-4-4-4-4-4-444-21-2-2-21112-12-1-1-1222-12-1-21-2100000000000000000000000022-2-20000-1-1-1-1111100000000
χ604444-4-4-4-4-4-444-21-2-2-21112-12-1-1-1222-12-1-21-21000000000000000000000000-2-22200001111-1-1-1-100000000
χ6144-4-444-4-44-4-441-2-1-11-2221-21-222-1-11-2-121-2-1200000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ6244-4-444-4-44-4-441-2-1-11-2221-21-222-1-11-2-121-2-120000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ6344-4-444-4-44-4-44-2122-21-1-1-21-21-1-122-212-1-212-10000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ6444-4-444-4-44-4-44-2122-21-1-1-21-21-1-122-212-1-212-1000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ6544-4-444-4-4-444-41-2-1-11-2221-21-222-1-1-121-2-121-200000000000000000000000000000000000000003−3−333−3−33
χ6644-4-444-4-4-444-41-2-1-11-2221-21-222-1-1-121-2-121-20000000000000000000000000000000000000000−333−3−333−3
χ6744-4-444-4-4-444-4-2122-21-1-1-21-21-1-1222-1-212-1-21000000000000000000000000000000003−3−333−3−3300000000
χ6844-4-444-4-4-444-4-2122-21-1-1-21-21-1-1222-1-212-1-2100000000000000000000000000000000−333−3−333−300000000
χ6944-4-4-4-4444-44-41-2-1-11-222-12-12-2-2111-2-12-121-20000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ7044-4-4-4-4444-44-41-2-1-11-222-12-12-2-2111-2-12-121-20000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ7144-4-4-4-4444-44-4-2122-21-1-12-12-111-2-2-212-12-1-21000000000000000000000000000000003−3−33−333−300000000
χ7244-4-4-4-4444-44-4-2122-21-1-12-12-111-2-2-212-12-1-2100000000000000000000000000000000−333−33−3−3300000000
χ7344-4-4-4-444-44-441-2-1-11-222-12-12-2-211-121-21-2-1200000000000000000000000000002-2-2200000000-1-11111-1-1
χ7444-4-4-4-444-44-441-2-1-11-222-12-12-2-211-121-21-2-120000000000000000000000000000-222-20000000011-1-1-1-111
χ7544-4-4-4-444-44-44-2122-21-1-12-12-111-2-22-1-21-212-10000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ7644-4-4-4-444-44-44-2122-21-1-12-12-111-2-22-1-21-212-1000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ778-88-88i−8i8i−8i00002-42-2-24-442i−4i−2i4i−4i4i2i−2i00000000000000000000000000000000000000000000000000000000
χ788-88-88i−8i8i−8i0000-42-444-22-2−4i2i4i−2i2i−2i−4i4i00000000000000000000000000000000000000000000000000000000
χ798-88-8−8i8i−8i8i00002-42-2-24-44−2i4i2i−4i4i−4i−2i2i00000000000000000000000000000000000000000000000000000000
χ808-88-8−8i8i−8i8i0000-42-444-22-24i−2i−4i2i−2i2i4i−4i00000000000000000000000000000000000000000000000000000000
χ818-8-888i−8i−8i8i00002-4-22-244-42i−4i−2i4i4i−4i−2i2i00000000000000000000000000000000000000000000000000000000
χ828-8-888i−8i−8i8i0000-424-44-2-22−4i2i4i−2i−2i2i4i−4i00000000000000000000000000000000000000000000000000000000
χ838-8-88−8i8i8i−8i00002-4-22-244-4−2i4i2i−4i−4i4i2i−2i00000000000000000000000000000000000000000000000000000000
χ848-8-88−8i8i8i−8i0000-424-44-2-224i−2i−4i2i2i−2i−4i4i00000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.